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Finding the Fourth Proportional to 4,647.81, 6,969.96 and 1,873.77

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Solution

The fourth proportional to 4,647.81, 6,969.96 and 1,873.77 is: 2,809.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.81 : 6,969.96 = 1,873.77 : x
  2. Step 2: Convert to fraction form
    4,647.81/6,969.96 = 1,873.77/x
  3. Step 3: Cross multiply
    4,647.81x = 6,969.96 × 1,873.77
  4. Step 4: Simplify right side
    4,647.81x = 13,060,101.95
  5. Step 5: Solve for x
    x = 13,060,101.95/4,647.81
  6. Step 6: Final answer
    x = 2,809.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.